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Finding the Third Proportional to 69,315 and 105,432

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Solution

The third proportional to 69,315 and 105,432 is: 160,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,315 : 105,432 = 105,432 : x
  2. Step 2: Convert to fraction form
    69,315/105,432 = 105,432/x
  3. Step 3: Cross multiply
    69,315x = 105,432 × 105,432
  4. Step 4: Simplify right side
    69,315x = 11,115,906,624
  5. Step 5: Solve for x
    x = 11,115,906,624/69,315
  6. Step 6: Final answer
    x = 160,367.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.